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Finding the Fourth Proportional to 229.03, 343.59 and 185.97

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Solution

The fourth proportional to 229.03, 343.59 and 185.97 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.03 : 343.59 = 185.97 : x
  2. Step 2: Convert to fraction form
    229.03/343.59 = 185.97/x
  3. Step 3: Cross multiply
    229.03x = 343.59 × 185.97
  4. Step 4: Simplify right side
    229.03x = 63,898.10
  5. Step 5: Solve for x
    x = 63,898.10/229.03
  6. Step 6: Final answer
    x = 279.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.